A valuable guide covering the key principles of partial differential equations and their real world applications.

Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics – Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.

"The proposed book is an introductory text covering the fundamentals and applications of transport phenomena in a single volume. It aims to interlink mathematics with physical concepts by solving equations using numerical techniques and explaining their industrial applications. It thus provides a foundation for advanced courses in fluid mechanics, multiphase flows and turbulence. The supplements package of the book will have lecture slides and solutions to all of the practice problems in the book"--

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This Liber Amicorum honors a man whose ideas and results have to a large extent shaped queueing theory in its present form. Wim Cohen has made important contributions to the theory of stochastic processes, queueing theory, teletraffic and performance evaluation. The twenty invited papers, from his friends and colleagues, are grouped into five parts. Part I consists of survey papers which present a broad picture of the developments in several areas of queueing theory and performance evaluation. Parts II-V contain research papers dealing with problems of current interest - the Single Server Queue, analytic methods, queueing networks and their applications to communication and computer systems, and various topics in probability and statistics with implications for queueing theory.